Parabola Dilation
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This example demonstrates the dilation transformation of a parabola in the coordinate system. It involves core mathematical concepts such as dilation, similarity transformation, and coordinate geometry. The construction uses GeoGebra commands/objects like a (point or parameter) and c (dilation factor). Suitable for high school students learning about function graph transformations.
GeoGebra Commands & Parameters
Numeric a(1.0)y = a * x^(2)
AI Drawing Prompt Reference
Draw a parabola with an opening twice as large as the initial parabola y=x^2. First, plot the initial parabola y=x^2 in the coordinate system, then use a parameter a to adjust the size of the opening, making the new parabola equation y=a*x^2, with a set to 2.
The prompt above was compiled from the original drawing commands and is for reference only.